Introduction
Similarity is an analogical process where perceptual (e.g., sounds) or abstract (e.g., political ideologies) properties can be described using a metaphor. Space is often used to support such analogies as people frequently use the terms ‘close’ and ‘far apart’ to describe similar and dissimilar things (Casasanto,
2008). In addition, in accordance with the construal level theory (Trope & Liberman,
2010), space, in terms of psychological distance, helps us to transcend the immediate situation and to represent things not directly accessible in the current experience (e.g., memories, plans, prediction, hopes, and counterfactual alternatives).
Understanding how similarity is structured and organized as a cognitive representation is one of the questions of psychological and cognitive science (Decock & Douven,
2011). Lakoff & Johnson, (
1999) proposed two complementary conceptual mappings to describe the tight link between space and similarity: spatial closeness as similarity and spatial distance as dissimilarity or alternatively, similarity as spatial closeness and dissimilarity as spatial distance. According to the conceptual metaphor theory (Lakoff & Johnson,
1980,
1999), these metaphors are grounded in our sensorimotor experience with the world. Embodied and grounded cognition theories support the notion that conceptual metaphors and knowledge are rooted in our experience with the body and environment, that is to say, that the domains of space, force, or motion, which are experienced through our sensorimotor system, are used to describe abstract concepts and create metaphors (Barsalou,
1999,
2008; Gallese & Lakoff,
2005; Wilson,
2002).
A consistent body of evidence suggests the importance of the space for the representation of similarity, particularly within the semantic domain (i.e., the conceptual metaphor direction tested here is ‘proximity → similarity’). In one seminal study, Casasanto, (
2008) presented participants with a series of item pairs (abstract nouns, faces, object pictures) at different distances on a computer screen, and then they were asked to judge how much the items were similar in their meaning (abstract nouns), functional use (objects), or visual appearance (objects and faces). Results indicated that abstract nouns and object pictures (functional use) pairs were rated as more similar when they were presented in the near space (as opposed to the far space); the opposite pattern was found for face pairs and object pictures (visual appearance). The author concluded that when participants were asked to make conceptual judgments (namely, when they were asked to make judgments about the meaning of nouns and the functional use of objects), the spatial proximity influenced similarity judgments; conversely, when participants were asked to make perceptual judgments, the spatial proximity operates in the opposite direction. Guerra & Knoeferle, (
2014) showed that spatial proximity can affect subsequent abstract sentence comprehension of semantically related nouns. When noun pairs (e.g., ‘joy’ and ‘euphory’) were presented near on the PC screen and the sentence in which they were contextualized expressed similarity (“
Joy and euphory are almost similar”), participants’ reading times at the adjective (i.e., ‘similar’) were faster compared to the condition in which the nouns were far; conversely, when noun pairs were presented far apart compared to the condition in which they were close, participants’ reading times at the adjective were faster for sentences that conveyed dissimilarity.
Conversely, other evidence has been provided in support of the opposite direction of the metaphor (i.e., ‘similarity → proximity’). Boot & Pecher, (
2010) showed that participants were faster to make judgments on colored squares when they were similar in color and near, compared to the condition when the squares were far; in addition, they were faster to respond when the squares were far and dissimilar in color compared to near. They also found that the relation between similarity and closeness is asymmetrical, supporting the notion that similarity entails the spatial properties of closeness, but not the other way round.
Interestingly, grounded knowledge and abstract concepts are organized within cognitive architectures, namely
low-dimensional spaces (Bottini & Doeller,
2020). Here, information is conceptualized as points in a space that is formed by a few characteristics of the information (e.g., jobs can be described depending on ‘freedom’ and ‘loneliness’ axes; Bottini & Doeller,
2020). Research shows that items in these architectures are represented through an abstract spatial distance (Theves et al.,
2019). Solomon et al.,
2019 showed that the abstract distance computation is relevant for words stored in the declarative memory system. Distances were measured as semantic distance, computed from Euclidean distance in word2vec subspaces and as temporal distances, calculated from the serial position of the word at retrieval. The authors showed that items are stored in episodic memory according to their temporal and, particularly, semantic distance. They concluded that declarative memory is supported by item associations computed as distances in an abstract cognitive space.
Semantic aspects of language have been investigated by multiple studies; however, less is known regarding how other language characteristics are organized in terms of space. In the current study, we focused on phonology, namely the abstract representation of speech sounds in a certain language. There is growing evidence that phonology is created, stored, and shared through the embodied learning of sound production, shaped by the inputs in the environment but also by the experience of creating sounds and recognizing them (Fogassi & Ferrari,
2008; Nathan,
2017). Berent & Platt, (
2022) showed phonetics and lexical phonological associations are grounded in our sensorimotor system, whereas the phonological structure is abstract. These perceptual aspects of phonology were found to hamper memory performance. Early studies on the so-called phonological similarity effect showed that the effect occurs as a result of interference in the phonological store between similar phonological memory traces (Baddeley,
1986). In this sense, the immediate serial recall of phonologically similar words is poorer compared to phonologically dissimilar words. Conversely, other recent findings suggest that phonological similarity improves memory recall independently from the method used to test retrieval of the items (Gupta et al.,
2005). Phonological similarity also affects recognition memory and could vary depending on the language (e.g., Chan & Vitevitch,
2009; Luce & Pisoni,
1998; Vitevitch & Rodríguez,
2005). For instance, Spanish words with high frequency of similar words (i.e., neighborhood) are recognized more quickly and accurately than words with low neighborhood frequency, whereas the opposite result is found in English. As a consequence of these effects on memory, phonology can affect word learning by improving phonological processing (e.g., directing attention toward phonological aspects of words) and pronounceability at encoding or be influenced by phonological similarity (e.g., neighborhood density) or phonological skills (Meade,
2020; Stamer & Vitevitch,
2012).
Despite many studies being done regarding the effect of phonology on memory, to our knowledge, there is no study concerning how words stored in declarative memory are spatially organized depending on their phonological similarity. Particularly, no study has investigated if the abstract concept of space is used offline (stored in memory) to represent words that are close or far apart in terms of phonological characteristics.
To pursue this aim, we developed an old-new recognition test followed by remember-know (RK; Migo et al.,
2012; Wixted & Stretch,
2004) and spatial distance judgments. We applied the RK procedure to assess the two domains of declarative memory, respectively episodic and semantic memory (Migo et al.,
2012; Wixted & Stretch,
2004). In the encoding phase, participants were presented with noun pairs that were manipulated according to two dimensions: reciprocal spatial location (far-near) and phonological similarity (alliterative-dissimilar). Then during the recognition phase, participants completed an old-new recognition memory test. If participants answered ‘old’, RK judgments were asked followed by the spatial distance estimation task.
In this study we wanted to explore if: (1) regardless of the actual encoding spatial location, phonological characteristics of the word pairs will affect subsequent recalled spatial distance (similar words are judged closer and dissimilar words farther); (2) actual and phonological spatial distance estimation of word pairs is influenced depending on the declarative memory (episodic memory vs. semantic, R vs. K respectively) system in which this information is stored; (3) phonological characteristics of the word pairs will affect false alarms (FA) in the same way as explained in the first point (i.e., even when not spatially presented at encoding, similar word pairs are represented closer and dissimilar pairs farther apart). In conclusion, we expect that in addition to physical spatial properties (i.e., actual spatial location) phonological characteristics of words retain abstract spatial information that can be stored in memory as the phonological spatial distance between dissimilar and similar noun pairs.
Discussion
In this study, we sought to explore if phonological similarity/dissimilarity between stimuli pairs is stored in memory as spatial proximity/distance, namely if perceptual representation of language entails the conceptual metaphor of space, where dissimilar characteristics are far apart and similar characteristics are near (Lakoff & Johnson,
1999). Our results indicate that alliterative word pairs are remembered closer than dissimilar word pairs, confirming our first hypothesis that, regardless of the actual encoded spatial location, phonological characteristics of the word pairs could affect subsequent recalled spatial distance. Our second hypothesis was that actual and phonological spatial distance estimation of word pairs is influenced by the declarative memory system in which this information is stored. In this regard, our results indicate that when information is stored in the episodic memory system (R responses), both encoded spatial information and phonological distance are preserved (i.e., word pairs encoded near and far are recalled near and far respectively but at the same time alliterative word pairs are recalled closer than dissimilar word pairs). Conversely, when information is stored in the semantic memory system (K responses), the spatial distance estimation is solely driven by the phonological characteristic of the word pairs (i.e., alliterative word pairs are recalled closer than dissimilar word pairs). On our third hypothesis, we sought to find if phonological characteristics (i.e., similar word pairs are believed to be closer than dissimilar word pairs even when not spatially presented at encoding) of the word pairs could affect false memories (i.e., FA). We showed that similar word pairs are represented closer and dissimilar pairs farther apart even when not spatially presented at encoding. However, this finding is especially true for false memories based on semantic features (K judgments).
These three results (main effect of phonology on distance estimation for hit R, hit K, and FA K) taken together show that, in addition to a remembered physical distance between words (main effect of encoding spatial distance for hit R), an abstract spatial distance exists and depends on the phonological similarity between the stimuli. Bayesian evidence demonstrates strong evidence of this abstract spatial distance (in favor of hit R and FA K responses and extreme evidence in favor of hit K judgments). The effect of phonological similarity of distance judgments is stronger for the latter result, however, we showed that this effect can influence spatial judgments after R and FA responses.
Our findings regarding the main effect of phonology on spatial distance estimation (first hypothesis) for hit R, hit K, and FA K responses extend previous theoretical and experimental studies. We showed that phonological aspects of language (in Italian) can support metaphorical conceptualization (see, Lakoff & Johnson,
1999). Different studies showed that proximity can be conceptualized as similarity and distance as dissimilarity (Casasanto,
2008; Guerra & Knoeferle,
2014), however, the opposite pattern is also true (Boot & Pecher,
2010). Previous research showed that spatial distance as a metaphor can be applied to semantic and perceptual materials (Boot & Pecher,
2010; Casasanto,
2008; Guerra & Knoeferle,
2014; Schneider & Mattes,
2021). In the study of Casasanto (
2008), the author found that during conceptual judgments spatial proximity influenced similarity judgments; conversely, the spatial proximity operates in the opposite direction for perceptual judgments. That is to say that spatial proximity or distance leads to rate two items as closer or farther in terms of semantics (e.g., meaning of words), whereas spatial proximity or distance affects the judgments in the opposite direction for perceptual (e.g., object pictures) stimuli. Hence, Casasanto (
2008) stated that physical closeness facilitates perceptual differences (latter case) or encourages semantic categorization (former case). We extend this finding because we showed that, regardless of the encoding spatial distance (i.e., no interaction between space at encoding and phonology), perceptual (e.g., potentially embodied) aspects of phonology affect the spatial distance estimation. This could suggest that there are inherently conceptual embodied representations of phonology, unrelated to physical distance, that are linked to the abstract concept of space as an index of similarity/dissimilarity. Indeed, Boot & Pecher, (
2010), using perceptual stimuli, found that perceptual similarity leads to spatial closeness judgments. This is in line with our results, where phonological similarity/dissimilarity affected the recalled spatial distance. Nevertheless, we must acknowledge that the design of this experiment does not directly test a particular direction (‘similarity → proximity’ or ‘proximity → similarity’) of the conceptual mappings proposed by Lakoff & Johnson, (
1999) between space and similarity and this remains an open question.
Previous research showed that phonology affects learning, working memory recall, and recognition of word lists (Gupta et al.,
2005; Luce & Pisoni,
1998; Stamer & Vitevitch,
2012). Here, we found that phonological similarity affects spatial judgments after both episodic and semantic recognition (second hypothesis). Indeed, the serial parallel independent model (Tulving,
2001; Tulving & Markowitsch,
1998) states that perceptual (i.e., the phonological representation of the items), semantic (i.e., whether item pairs are phonologically similar or not), and episodic (i.e., items spatial location) information is encoded serially, stored in parallel, and the retrieval is independent and can entail other systems information. The retrieval of episodic information (R responses) includes perceptual, semantic, and episodic information, whereas semantic information (K responses) includes only perceptual and semantic characteristics of the items. Hence, the phonological distance is present in both R and K responses, whereas the spatial information can be accessed only for R responses and independently from other systems.
We also showed that this abstract conceptualization of distance between noun pairs is retained in long-term memory and particularly in episodic and semantic memory, as revealed by R and K responses. The study by Solomon et al., (
2019) showed that the semantic and temporal distance of learned words stored in declarative memory is represented in an abstract cognitive map. We showed that in addition to semantic material, phonological distance can be maintained in long-term memory with spatial distance properties. This information might be stored in an allocentric (i.e., object-to-object relations, in this case, the distance between items)
low-dimensional space (Bottini & Doeller,
2020), where axes are the spatial distance and the phonological similarity of word pairs. It can be that this allocentric
low-dimensional space is grounded in the perceptual, motor, and introspective states, supporting the notion that phonology is an embodied process (Fogassi & Ferrari,
2008; Gallese & Lakoff,
2005; Nathan,
2017) and that information in
low-dimensional spaces is rooted in our sensorimotor experience with the body and environment (Barsalou,
2008; Bottini & Doeller,
2020; Wilson,
2002).
Concerning false memories based on semantic features (third hypothesis), phonological similarity/dissimilarity has driven the spatial judgment of (spatially) unlearned item pairs. Indeed, typically phonological false memories occur due to surface similarity between words in a list (Chang & Brainerd,
2021); this perceptual similarity could be used to estimate distances of noun pairs (Boot & Pecher,
2010; Lakoff & Johnson,
1999). This finding suggests that it could be possible that phonological distance is inherently represented using phonological characteristics of stimulus pairs.
Importantly, very low ICC in the LMM highlighted that the proportion of explained variance in the dependent variable is greatly due to the lower levels (i.e., spatial distance and phonology fixed effects) of the model (Monsalves et al.,
2020). This strengthens our results in terms of the manipulated independent variables. In addition, Bayesian statistics can overcome the limitations of the frequentist approach and our Bayesian results demonstrate strong to extreme evidence in support of the existence of a phonological distance where words are located depending on their phonological features.
However, this study has several limitations as this is the first attempt to establish a relation between phonology and metaphoric spatial distance. First of all, the lack of neurophysiological data, like in previous studies (e.g., Solomon et al.,
2019), could strengthen the findings, which in this work are open only to behavioral and cognitive explanations. Then, we acknowledge that the manipulation of phonology can be improved and that Italian orthography is, in most cases, overlapping with phonology (i.e., transparent grapheme-to-phoneme relationships). In addition, we used alliteration as a marker of phonological similarity, however, other parameters could be used (e.g., biphone or triphone probability, neighborhood size). Furthermore, in some participants, the recognition memory performance was low, and this reduced the number of observations for R and K responses and the related spatial judgments for some participants; this is especially true for the FA R condition (see also 95%CI for the effect size in some results). Moreover, the recognition part required different steps with long instructions (old-new and RK) to be remembered and a bias in recognition memory might be present due to this cognitive load. In addition, it would be interesting to test if phonological distance is affected by the direction of the conceptual mapping (similarity is closeness or closeness is similarity).
Here, we showed that the relation between conceptual similarity and space as a metaphor extends to phonology, in addition to semantic and visual perception domains. This research suggests that, in addition to a physical space, abstract cognitive space is used to represent information and concepts. This abstract space is stored in memory, and it is used to create and understand metaphors.
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